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## Homework Statement

use the divergence theorem to evaluate the integral F dot dA

F = (2x-z)i + x

^{2}yj + xz

^{2}k

s is the surface enclosing the unit cube and oriented outward

## Homework Equations

## The Attempt at a Solution

is the the region from -1 to 1 for x y and z

div F = x

^{2}+ 2xz + 2

x

^{2}+ 2xz + 2 dx = x

^{3}/3 + x

^{2}z + 2x from -1 to 1

14/3 dy = 14y/3 from -1 to 1 = 28/3

28/3 dz = 28z/3 from -1 to 1 = 56/3

is this correct